When is a polynomial in one variable in standard form?

Solution:

A polynomial is a type of expression that consists of variables and coefficients, involving the operations of addition, subtraction, and multiplication of variables.

Polynomials in one variable are those expressions in which there is only one variable present.

A polynomial in one variable is in standard form when it satisfies the following set of rules:

• All the terms of the equation are in the form axⁿ, where n is a non-negative integer and x is the variable.
• All the terms are simplified and arranged from the highest exponent to the lowest exponent. 
• The highest power of exponent is the first term and makes the degree of the polynomial.

Thus, a polynomial in one variable is in standard form when all the terms are arranged from the highest exponent to the lowest exponent.

When is a polynomial in one variable in standard form?

Summary:

A polynomial in one variable is in standard form when all the terms are arranged from the highest exponent to the lowest exponent.